"Eating in the absence of hunger is associated with being overweight among older children, but this is the first time we've seen this link in children as young as toddlerhood," said Julie C Lumeng, from University of Michigan's C S Mott Children's Hospital.
"We found that toddlers' eating sweet, but not salty, tasty foods after they already ate a filling meal puts children at a greater risk of weight gain," Lumeng said.
Toddlers were then presented with a tray of sweet treats like chocolate chip cookies and salty snacks like potato chips. They were allowed to eat as much as they wanted.
Children between one and three years old who ate more desserts and who became upset when the food was removed experienced gradual increases in body fat by the time they were 33 months old. Those who picked the salty foods did not.
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"The tendency to eat when you're not hungry increases with age and could have lifelong implications for weight gain," said Lumeng.
The study was published in the journal Pediatrics.